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QUESTION 1 A team of research physicians conducted a study to detemine the effect of health education on the utilization of health services for hypertension patients (Drug Topics, April 1993). Data collected for a sample of n = 282 new HMO enrollees with hypertension problems were used to fit the following model: E() = + fxı + Bn+ A + Ax4 + Bxs Where y = Annual health care expenditures (Dollars) XI = Age (years) [1 if female 0 if male if white X =

QUESTION 1 A team of research physicians conducted a study to detemine the effect of health education on the utilization of health services for hypertension patients (Drug Topics, April 1993). Data collected for a sample of n = 282 new HMO enrollees with hypertension problems were used to fit the following model: E() = + fxı + Bn+ A + Ax4 + Bxs Where y = Annual health care expenditures (Dollars) XI = Age (years) [1 if female 0 if male if white X =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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QUESTION 1 A team of research physicians conducted a study to detemine the effect of health education on the utilization of health services for hypertension patients (Drug Topics, April 1993). Data collected for a sample of n = 282 new HMO enrollees with hypertension problems were used to fit the following model: E(y) = B + Bixi + Px2 + Bxs + Baxa + Psxs Where y = Anmual health care expenditures (Dollars) XI = Age (years) (1 if female %3D if male [1 X3 = if white o if nonwhite X4 = Number of concomitant maintenance medications (Regimen) 1 if enrolled X5 = to if not The regression results are summarized in Table 1 Table 1 Variable Beta Estimate P-value for Testing Họ: Bi = 0 < 0.05 Intercept Age (xi) Gender (x2) Race (x3) Regimen (x4) Health Education (xs) 64.82 1.05 <0.05 -10.53 Nonsignificant Nonsignificant <0.05 < 0.001 0.27 9.46 -92.97 F = 37.84 , R? = 0.4357 a.) Write the least squares prediction equation for annual health care expenditure (y). b.) Interpret the estimates of fi and 84. c.) Interpret the P-values shown in Table 1. d.) Is the model adequate for estimating the annual health care expenditure? Motivate your answer statistically. Use a = 0.05. e.) Interpret the value of R2. f.) Predict the annual health care expenditure of a 45 year old male white hypertension patient who maintains three medications, but who has not enrolled in a health care education program.
Transcribed Image Text:QUESTION 1 A team of research physicians conducted a study to detemine the effect of health education on the utilization of health services for hypertension patients (Drug Topics, April 1993). Data collected for a sample of n = 282 new HMO enrollees with hypertension problems were used to fit the following model: E(y) = B + Bixi + Px2 + Bxs + Baxa + Psxs Where y = Anmual health care expenditures (Dollars) XI = Age (years) (1 if female %3D if male [1 X3 = if white o if nonwhite X4 = Number of concomitant maintenance medications (Regimen) 1 if enrolled X5 = to if not The regression results are summarized in Table 1 Table 1 Variable Beta Estimate P-value for Testing Họ: Bi = 0 < 0.05 Intercept Age (xi) Gender (x2) Race (x3) Regimen (x4) Health Education (xs) 64.82 1.05 <0.05 -10.53 Nonsignificant Nonsignificant <0.05 < 0.001 0.27 9.46 -92.97 F = 37.84 , R? = 0.4357 a.) Write the least squares prediction equation for annual health care expenditure (y). b.) Interpret the estimates of fi and 84. c.) Interpret the P-values shown in Table 1. d.) Is the model adequate for estimating the annual health care expenditure? Motivate your answer statistically. Use a = 0.05. e.) Interpret the value of R2. f.) Predict the annual health care expenditure of a 45 year old male white hypertension patient who maintains three medications, but who has not enrolled in a health care education program.
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